%0 Journal Article
%T All couplings localization for quasiperiodic operators with Lipschitz monotone potentials
%A Svetlana Jitomirskaya
%A Ilya Kachkovskiy
%J Mathematics
%D 2015
%I arXiv
%X We establish Anderson localization for quasiperiodic operator families of the form $$ (H(x)\psi)(m)=\psi(m+1)+\psi(m-1)+\lambda v(x+m\alpha)\psi(m) $$ for all $\lambda>0$ and all Diophantine $\alpha$, provided that $v$ is a $1$-periodic function satisfying a Lipschitz monotonicity condition on $[0,1)$. The localization is uniform on any energy interval on which Lyapunov exponent is bounded from below.
%U http://arxiv.org/abs/1509.02226v1